Deferred Cesàro and deferred Euler equi-statistical convergence and its applications to Korovkin-type approximation theorem
Kavita Saini, Kuldip Raj, M. Mursaleen
Abstract
The present paper emphasises on equi-statistical convergence, pointwise statistical convergence and uniform statistical convergence for a sequence of real-valued functions by using deferred Cesàro and deferred Euler statistical convergence and obtain various implicative results with supporting examples. We make an effort to demonstrate Korovkin-type approximation theorem via deferred Cesàro and deferred Euler equi-statistical convergence. We also present an example which shows that our Korovkin-type theorem is powerful than its classical version. Further, we study rates of deferred Cesàro and deferred Euler equi-statistical convergence via modulus of continuity.
Topics & Concepts
Pointwise convergenceMathematicsConvergence (economics)Type (biology)Euler's formulaPointwiseSequence (biology)Applied mathematicsWeak convergenceMathematical analysisComputer scienceEconomic growthAsset (computer security)GeneticsEcologyComputer securityEconomicsOperating systemBiologyApproxApproximation Theory and Sequence SpacesAdvanced Harmonic Analysis ResearchMathematical Approximation and Integration